In 1990, Y. Colin de Verdière introduced a new graph parameter μ(G), based on spectral properties of matrices associated with G. He showed that μ(G) is monotone under taking minors and that planarity of G is characterized by the inequality μ(G) ≤ 3. Small values of this parameter correspond to interesting graph properties, like μ ≤ 3 if and only if the graph is planar, and μ ≤ 4 if and only if ...

Several fractional integral inequalities of the Hermite–Hadamard type are presented for class (h,g;m)-convex functions. Applied operators contain extended generalized Mittag-Leffler functions as their kernel, thus enabling new that extend and generalize known results. As an application, upper bounds given.

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In this paper, we investigate a large-sized beam tunnel, G-band extended interaction klystron (EIK) with traveling wave output structure for the development of broad bandwidth EIKs. The high-quality factor F was introduced to estimate characteristics cluster cavities, and optimal cavity parameters were obtained based on factor. simulation mode device designed by 3D particle-in-cell (PIC) commer...